SOLUTION: please help me answer the following question, showing all your work and at least 5 sentences explaining HOW and WHY you arrived at your answer.
You and your best friend are savi
Question 1006134: please help me answer the following question, showing all your work and at least 5 sentences explaining HOW and WHY you arrived at your answer.
You and your best friend are saving money for a shopping trip you would like to take. Your best friend begins with $5, and saves $11 each week. You begin with $23, and save $8 each week. Write an equation to represent when you and your friend will have saved the same amount of money. How much money will you each have saved?
You can put this solution on YOUR website! let x be the number of weeks you and your friend save, then
your friend = 5 + 11x
the total amount your friend saves equals 5 which he starts with plus 11 times x
you = 23 + 8x
the total amount you save equals 23 which you start with plus 8 times x
we are looking for the value of x which makes your friend's savings equal you savings
we do this by setting the equations equal to each other
5 +11x = 23 +8x
subtract 5 from both sides of =
11x = 18 +8x
subtract 8x from both sides of =
3x = 18
divide both sides of = by 3
x = 6, therefore
In six weeks you and your friend will have saved $71
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check the answer by substituting 6 for x
5 +(11 * 6) = 23 +(8 * 6)
5 + 66 = 23 + 48
71 = 71
our answer checks
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